v6.04.191 SSNV191 — Validation of Neumann conditions with X- FEM in 2D and 3D

Summary

The purpose of this test is to validate the consideration of Neumann-type boundary conditions on X-FEM skin elements in 2D and 3D.

This test involves a 3D structure or a 2D equivalent comprising a flat horizontal interface cutting the structure into two parts (an « upper » part above the interface, and a « lower » part below the interface). The interface is represented by level sets.

The loads applied are of several types: a loading with constant pressure on the lateral faces of the structure, a loading with a positive pressure on the upper lateral faces and a negative pressure on the lower lateral faces. The same problem is also treated by replacing pressures with 3D surface forces and 2D linear forces.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
  • 1.4. Problem solutions
• 2. Modeling A
  • 2.1. Characteristics of the mesh
  • 2.2. Features tested
  • 2.3. Tested sizes and results
• 3. B modeling
  • 3.1. Characteristics of the mesh
  • 3.2. Tested features
  • 3.3. Tested sizes and results
• 4. C modeling
  • 4.1. Tested sizes and results
• 5. D modeling
  • 5.1. Characteristics of the mesh
  • 5.2. Tested features
  • 5.3. Tested sizes and results
• 6. Summaries of results